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Finding the Fourth Proportional to 6,431.58, 9,647.28 and 2,048.22

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Solution

The fourth proportional to 6,431.58, 9,647.28 and 2,048.22 is: 3,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.58 : 9,647.28 = 2,048.22 : x
  2. Step 2: Convert to fraction form
    6,431.58/9,647.28 = 2,048.22/x
  3. Step 3: Cross multiply
    6,431.58x = 9,647.28 × 2,048.22
  4. Step 4: Simplify right side
    6,431.58x = 19,759,751.84
  5. Step 5: Solve for x
    x = 19,759,751.84/6,431.58
  6. Step 6: Final answer
    x = 3,072.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.